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Simple near-rings associated with meromorphic products

Authors: C. J. Maxson and K. C. Smith
Journal: Proc. Amer. Math. Soc. 105 (1989), 564-574
MSC: Primary 16A76
MathSciNet review: 963574
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Abstract: Let $ H$ be a subgroup of $ {G^2}$ and let

$\displaystyle {M_0}\left( {G,2,H} \right) = \left\{ {f \in {M_0}\left( G \right)\vert f(H) \subseteq H} \right\}.$

In this paper we characterize in terms of properties of $ H$ when $ {M_0}\left( {G,2,H} \right)$ is a simple near-ring.

References [Enhancements On Off] (What's this?)

  • [1] P. Fuchs and C. J. Maxson, Near-fields associated with invariant linear $ k$-relations, Proc. Amer. Math. Soc. 103 (1988), 729-736. MR 947647 (89f:16053)
  • [2] C. J. Maxson, and K. C. Smith, The centralizer of a group automorphism, J. Algebra 54 (1978), 27-41. MR 511455 (80b:16029)
  • [3] J. D. P. Meldrum, Near-rings and their links with groups, Research Notes in Math. 134, Pitman Publ. Co., London, 1986. MR 854275 (88a:16068)
  • [4] G. F. Pilz, Near-rings, 2nd Ed., North Holland, Amsterdam, 1983. MR 721171 (85h:16046)
  • [5] R. Remak, Über die Darstellung der endlichen Gruppen als Untergruppen direkter Produkte, J. Reine Angew. Math. 163 (1930), 1-44.
  • [6] H. Wielandt, How to single out function near-rings, Oberwolfach Abstracts, 1972.

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